The number of possible matrices of order 2 × 2 with each entry 0 or 1 or 2 is:

81

In a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0 or 2. Thus, there are (3) ways of filling each of the 4 spaces.

Thus the total number of such matrices will be ⇒ (3)⁴ = 3 × 3 × 3 × 3 matrices.

Therefore, the number of possible matrix of 2 × 2 order with each entry as 0 or 1 or 2 is equal to 81.